dorsal/arxiv
View SchemaDecoherence for classically chaotic quantum maps
| Authors | Pablo Bianucci, Juan Pablo Paz, Marcos Saraceno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110033 |
| URL | https://arxiv.org/abs/quant-ph/0110033 |
| DOI | 10.1103/PhysRevE.65.046226 |
Abstract
We study the behavior of an open quantum system, with an $N$--dimensional space of states, whose density matrix evolves according to a non--unitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker's and Harper's map are the two examples we consider). A non--unitary step where the evolution operator for the density matrix mimics the effect of diffusion in the semiclassical (large $N$) limit. The process of decoherence and the transition from quantum to classical behavior are analyzed in detail by means of numerical and analitic tools. The existence of a regime where the entropy grows with a rate which is independent of the strength of the diffusion coefficient is demonstrated. The nature of the processes that determine the production of entropy is analyzed.
{
"annotation_id": "a046874e-0b9e-4014-a3e6-bc2fe135b600",
"date_created": "2026-03-02T18:01:45.198000Z",
"date_modified": "2026-03-02T18:01:45.198000Z",
"file_hash": "fca3cde66357bd6d81e6b1576d937ebb51f2007fd7b7d91bb5aa1f466a4ac657",
"private": false,
"record": {
"abstract": "We study the behavior of an open quantum system, with an $N$--dimensional\nspace of states, whose density matrix evolves according to a non--unitary map\ndefined in two steps: A unitary step, where the system evolves with an\nevolution operator obtained by quantizing a classically chaotic map (baker\u0027s\nand Harper\u0027s map are the two examples we consider). A non--unitary step where\nthe evolution operator for the density matrix mimics the effect of diffusion in\nthe semiclassical (large $N$) limit. The process of decoherence and the\ntransition from quantum to classical behavior are analyzed in detail by means\nof numerical and analitic tools. The existence of a regime where the entropy\ngrows with a rate which is independent of the strength of the diffusion\ncoefficient is demonstrated. The nature of the processes that determine the\nproduction of entropy is analyzed.",
"arxiv_id": "quant-ph/0110033",
"authors": [
"Pablo Bianucci",
"Juan Pablo Paz",
"Marcos Saraceno"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.65.046226",
"title": "Decoherence for classically chaotic quantum maps",
"url": "https://arxiv.org/abs/quant-ph/0110033"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3b21e25a-3307-4a89-88d3-33235e344e75",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}